Question

If we add any 3 numbers will get answer 60 (2,6,10,14,18 22 26 30 34 38 42 46 50 54 58

Answer 1

Answer:

No solution

Step-by-step explanation:

Given : Numbers - 2,6,10,14,18 ,22, 26, 30, 34, 38, 42, 46, 50, 54,58.

To find : If we add any 3 numbers will get answer 60.

Solution :

There can be no such combination of only three numbers from the given list adding which we can get 60.

Because all of those numbers are of the form $2 + 4n$  where n is a positive integer.

So, adding these numbers will never result in 60. As, there always be a remainder.

You can’t get a non-integer sum by adding together integers, so there is no solution.

Answer 2

Given : 2,6,10,14,18,22,26,30,34,38,42,46,50,54,58

To find  :  3 numbers such that sum = 60

Solution:

26 + 34 = 60  ( 2 , 6 & 34  number used)

2,6,10,14,18,22,26,30,34,38,42,46,50,54,58

This is an AP

with d = 4   a = 2

an  = a + (n-1)d

=> an   = 2 + ( n - 1)4

=> an =  2 + 4n - 4

=> an = 4n - 2

Any term will be of form 4n - 2

if we add any three term

then   sum would be  4a - 2 + 4b - 2  + 4c - 2

= 4(a + b + c) - 4 - 2

= 4(a + b + c - 1) - 2

= 4k - 2

Sum = 4 k - 2

60 = 4 * 15

Hence 4k - 2  can not be equal to 4 * 15

Hence sum can not be equal to 60

Hence its not possible to add 3 numbers to get 60

but if we do not use simple maths

then we can use three numbers

2  , 6  & 34

26  + 34

= 60

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